Classically Emulated Digital Quantum Simulation of the Schwinger Model with Topological Term via Adiabatic State Preparation

• URL: http://arxiv.org/abs/2001.00485v3
• Date: Fri, 22 Apr 2022 15:01:53 GMT
• Title: Classically Emulated Digital Quantum Simulation of the Schwinger Model with Topological Term via Adiabatic State Preparation
• Authors: Bipasha Chakraborty, Masazumi Honda, Taku Izubuchi, Yuta Kikuchi, Akio Tomiya
• Abstract summary: We perform a digital quantum simulation of a gauge theory with a topological term in Minkowski spacetime. We construct the true vacuum state of a lattice Schwinger model using adiabatic state preparation. Our results imply that digital quantum simulation is already useful tool to explore non-perturbative aspects of gauge theories.
• Score: 1.2862023695904008
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We perform a digital quantum simulation of a gauge theory with a topological term in Minkowski spacetime, which is practically inaccessible by standard lattice Monte Carlo simulations. We focus on $1+1$ dimensional quantum electrodynamics with the $\theta$-term known as the Schwinger model. We construct the true vacuum state of a lattice Schwinger model using adiabatic state preparation which, in turn, allows us to compute an expectation value of the fermion mass operator with respect to the vacuum. Upon taking a continuum limit we find that our result in massless case agrees with the known exact result. In massive case, we find an agreement with mass perturbation theory in small mass regime and deviations in large mass regime. We estimate computational costs required to take a reasonable continuum limit. Our results imply that digital quantum simulation is already useful tool to explore non-perturbative aspects of gauge theories with real time and topological terms.

Related papers

• Digital Quantum Simulation for Spectroscopy of Schwinger Model [0.0]
  This note discusses a method for computing the energy spectra of quantum field theory utilizing digital quantum simulation. A quantum algorithm, called coherent imaging spectroscopy, quenches the vacuum with a time-oscillating perturbation. As a practical demonstration, we apply this algorithm to the (1+1)-dimensional quantum electrodynamics with a topological term known as the Schwinger model.
  arXiv  Detail & Related papers  (2024-04-23T06:54:41Z)
• Scalable digital quantum simulation of lattice fermion theories with local encoding [0.0]
  We numerically analyze the feasibility of a platform-neutral, general strategy to perform quantum simulations of fermionic lattice field theories. We show that such local fermion encoding is also useful in tensor network numerical simulations.
  arXiv  Detail & Related papers  (2023-10-23T16:54:49Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• Towards a Quantum Simulation of Nonlinear Sigma Models with a Topological Term [0.0]
  We show that the quantum theory is massless in the strong-coupling regime. We also highlight the limitations of current quantum algorithms, designed for noisy intermediate-scale quantum devices.
  arXiv  Detail & Related papers  (2022-10-07T16:35:03Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Tuning the Topological $\theta$-Angle in Cold-Atom Quantum Simulators of Gauge Theories [3.4075669047370125]
  We show how a tunable topological $theta$-term can be added to a prototype theory with gauge symmetry. The model can be realized experimentally in a single-species Bose--Hubbard model in an optical superlattice with three different spatial periods. This work opens the door towards studying the rich physics of topological gauge-theory terms in large-scale cold-atom quantum simulators.
  arXiv  Detail & Related papers  (2022-04-13T18:00:01Z)
• Fermionic approach to variational quantum simulation of Kitaev spin models [50.92854230325576]
  Kitaev spin models are well known for being exactly solvable in a certain parameter regime via a mapping to free fermions. We use classical simulations to explore a novel variational ansatz that takes advantage of this fermionic representation. We also comment on the implications of our results for simulating non-Abelian anyons on quantum computers.
  arXiv  Detail & Related papers  (2022-04-11T18:00:01Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)
• Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term [1.2862023695904008]
  We study screening and confinement in a gauge theory with a topological term. We compute the ground state energy in the presence of probe charges to estimate the potential between them. In particular our result in the massive case shows a linear behavior for non-integer charges and a non-linear behavior for integer charges.
  arXiv  Detail & Related papers  (2021-05-07T14:09:32Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.